SEMINARIO DE FISICA TEORICA I Y II

Titulo:         An exactly solvable model for superpositions of Cooper pairs and condensed molecular bosons - a study of spectral equivalences
Conferenciante: Dra. Katrina Hibberd (Centre for Mathematical Physics, University of Queensland)
Dia y hora:     5, 14:15 (Aula 8B)

Resumen:

We develop an integrable Hamiltonian describing coherent
superpositions of Cooper pairs and condensed molecular bosons using
the framework of the Quantum Inverse Scattering Method.  In this way
we are able to obtain the exact solution by the algebraic Bethe ansatz
method. We then examine the relationship between the spectrum of this
integrable Hamiltonian and the quasi-exactly solvable spectrum of
particular Schroedinger operators.  Interestingly, one of the
potentials we obtain is sextic and the wavefunctions obey PT-symmetric
boundary conditions.

This work was in collaboration with Jon Links of the University of
Queensland and Clare Dunning of the University of Kent.